Atkin-Lehner |
2+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14432c |
Isogeny class |
Conductor |
14432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116224 |
Modular degree for the optimal curve |
Δ |
-359768791123275776 = -1 · 212 · 11 · 418 |
Discriminant |
Eigenvalues |
2+ -1 1 4 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,135955,-21504827] |
[a1,a2,a3,a4,a6] |
j |
67849417324588544/87834177520331 |
j-invariant |
L |
2.5841100414548 |
L(r)(E,1)/r! |
Ω |
0.16150687759093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14432e1 28864w1 129888be1 |
Quadratic twists by: -4 8 -3 |